Question

What is the vertex of `y= -2x^2-2x-6+3(x-1)^2`?

Answer 1

`y=(x-4)^2-19`

Explanation:

`y=-2x^2-2x-6+3x^2-6x+3`

`y=x^2-8x-3`

Use completing square

`y+16=x^2-8x+4^2-3`

`y+16=(x-4)^2-3`

`y=(x-4)^2-19`